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Finding the Fourth Proportional to 569,622, 853,874.10 and 317,023.50

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Solution

The fourth proportional to 569,622, 853,874.10 and 317,023.50 is: 475,224.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,622 : 853,874.10 = 317,023.50 : x
  2. Step 2: Convert to fraction form
    569,622/853,874.10 = 317,023.50/x
  3. Step 3: Cross multiply
    569,622x = 853,874.10 × 317,023.50
  4. Step 4: Simplify right side
    569,622x = 270,698,155,741.35
  5. Step 5: Solve for x
    x = 270,698,155,741.35/569,622
  6. Step 6: Final answer
    x = 475,224.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.